🧮 Counting Outfits & Orders

Step 1: Every possible outfit

Each pair of shoes gets its own grid of shirt–pants pairs. Every cell is a different outfit. The outlined one is your outfit from Step 2.

Step 2: Build one outfit, choice by choice

Pick a shirt, then pants, then shoes. Each choice multiplies the possibilities.

🎲 Random outfit

Step 3: The outfit tree

Start → shirt → pants → shoes. Every path from left to right is one outfit. Your outfit from Step 2 is highlighted in orange.

Show all shirts

A waiter takes everyone’s order, one person at a time

How many different orders can the waiter go around the table in? Order matters (A then B is different from B then A), so this is a permutation. Click a person to build one order step by step.

🌳 Tree of choices: click a circle to choose who goes next. Click a different circle on an earlier row to branch off a new order.

Counting the ways